25557120 has 320 divisors, whose sum is σ = 99970200. Its totient is φ = 6193152.

The previous prime is 25557101. The next prime is 25557127. The reversal of 25557120 is 2175552.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23270976 + 2286144 = 4824^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25557127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 881266 + ... + 881294.

Almost surely, 2^25557120 is an apocalyptic number.

25557120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49985100).

25557120 is an abundant number, since it is smaller than the sum of its proper divisors (74413080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25557120 is a wasteful number, since it uses less digits than its factorization.

25557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 25557120 is about 5055.4050282841. The cubic root of 25557120 is about 294.5578745230.

It can be divided in two parts, 255 and 57120, that added together give a palindrome (57375).

The spelling of 25557120 in words is "twenty-five million, five hundred fifty-seven thousand, one hundred twenty".